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Finding the Fourth Proportional to 171.65, 237.87 and 165.27

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Solution

The fourth proportional to 171.65, 237.87 and 165.27 is: 229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.65 : 237.87 = 165.27 : x
  2. Step 2: Convert to fraction form
    171.65/237.87 = 165.27/x
  3. Step 3: Cross multiply
    171.65x = 237.87 × 165.27
  4. Step 4: Simplify right side
    171.65x = 39,313.67
  5. Step 5: Solve for x
    x = 39,313.67/171.65
  6. Step 6: Final answer
    x = 229.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.